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Which is equal to $\frac{1}{2^3}$ ? $\newline$ Choices: $\newline$ (A) $2^3$ $\newline$ (B) $2^{-3}$ $\newline$ (C) $(-2)^3$ $\newline$ (D) $-(-2)^3$

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Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{2^3}

?

\newline

Choices:

\newline

(A)

2^3

\newline

(B)

2^{-3}

\newline

(C)

(-2)^3

\newline

(D)

-(-2)^3

Understand expression: Step $1$ : Understand the expression $\frac{1}{2^3}$ . $\newline$ Rewrite $\frac{1}{2^3}$ using negative exponents. $\newline$ $\frac{1}{2^3} = 2^{-3}$
Rewrite using negative exponents: Step $2$ : Match the rewritten expression with the given choices. $\newline$ $\frac{1}{2^3} = 2^{-3}$ corresponds to choice (B) $2^{-3}$

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